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Finding the Fourth Proportional to 317,943.36, 438,769.44 and 174,717

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Solution

The fourth proportional to 317,943.36, 438,769.44 and 174,717 is: 241,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,943.36 : 438,769.44 = 174,717 : x
  2. Step 2: Convert to fraction form
    317,943.36/438,769.44 = 174,717/x
  3. Step 3: Cross multiply
    317,943.36x = 438,769.44 × 174,717
  4. Step 4: Simplify right side
    317,943.36x = 76,660,480,248.48
  5. Step 5: Solve for x
    x = 76,660,480,248.48/317,943.36
  6. Step 6: Final answer
    x = 241,113.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.